Suppose a random sample of 50 college students is asked if they regularly eat breakfast. A 95% confidence interval for the proportion of all students that regularly eat breakfast is found to be 0.69 to 0.91. If a 90% confidence interval was calculated instead, how would it differ from the 95% confidence interval

Answers

Answer 1

Answer:

The 90% confidence interval would be  narrower than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The 95% confidence interval is  0.69 to 0.91.

Generally the width of a confidence interval is dependent on the margin of error

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Here we see that

           [tex]E \ \ \alpha \ \  Z_{\frac{\alpha }{2} } [/tex]

    Here  [tex]Z_{\frac{\alpha }{2} } [/tex]  is the critical value of half of the level of significance .

    This value increase as the value of confidence level increase and vise versa

So for 90% confidence interval , the confidence level is  90% , hence the value of  [tex]Z_{\frac{\alpha }{2} } [/tex]  will decrease  which will in turn decrease the value of E , hence the width of the interval will reduce

So the 90% confidence interval is narrower than a 95% confidence interval when the sample proportion or sample mean is constant


Related Questions

Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.

Answers

Answer:1.25

Step-by-step explanation:

If you add everything it makes 3 and 1/3 pounds you want 5

If you divide 5 by 3 and 1/3 it's 1.5

Then you just need to multiply 5/6 by 1.5

For making 5 lb birdseed mix  1 ¹/₄ lb cracked corn will be used.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts.

adding everything to make birdseed mix = 2 1/3 + 5/6 + 1/6 =10/3 lb

Now,

for making 10/3 lb birdseed mix = 5/6 lb cracked corn is used

in other words :

for making 1 lb birdseed mix = (5/6) x (3/10) lb cracked corn is used

that is , for making 5 lb birdseed mix = (5/6) x (3/10) x 5 lb cracked corn will be used.

 = 15/12 = 5/4 = 1 ¹/₄ lb  cracked corn will be used.

Therefore, for making 5 lb birdseed mix 1 ¹/₄ lb cracked corn will be used.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

Order the set of integers from least to greatest 5, -3, -12, 9

Answers

Answer:

-12, -3, 5, 9

Step-by-step explanation:

ok. So the numbers are 5, -3, -12, and 9.

In these numbers, there are 2 negatives. They are -12 and -3.

In negatives, the bigger the number is, the number is smaller.

So we first put

-12, -3 as our 2 first. Then the other ones are 5 and 9.

and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive

So then you put 5, 9

And our full answer is

-12, -3, 5, 9

-12, -3, 5, 9 is the correct order from least to greatest.

what is the y intercept y=-4x-5

Answers

Answer:

The y-intercept y = 4x - 5 is (0,-5).

Step-by-step explanation:

hope this helps

have a great day

plz consider marking brainliest

Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
If the income tax rate is increased to 21%, how much more tax will Sam pay?​

Answers

Answer:

he would pay $8,293.5 in income tax.

b:

Step-by-step explanation: he pays  15.280515891294% of his pay in tax. if the income rate was increased to 21% then he would pay 9,675.75‬ in taxes.  Which is 1,382.25 more than 18% tax.

1)
An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many
hours does it take to use one gallon?
A)
B)
gallon per hour, 1 hour
gallon per hour, 3 hours
3 gallons per hour, 5 hour
gallon per hour,
1 hour
D

Answers

Answer:

B

Step-by-step explanation:An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many

hours does it take to use one gallon?

A)

b)

gallon per hour, 1 hour

gallon per hour, 3 hours

3 gallons per hour, 5 hour

gallon per hour,

1 hour

D

evaluate 8 times (2-3) to the 2 power divided by 4

Answers

Answer:

Step-by-step explanation

8 x (2 - 3)^2 /4
8 x (-1)^2 /4
8 x 2 /4
16/4
4

The answer is 4

The two figures shown are congruent. Which statement is true?

Answers

Answer:reflection image of the other

Source:trust me bro

The last choice because it’s like you drawing it on a peace of paper and then folding the paper in half and then rubbing it on the other said of the paper

What’s the common factor for 72 and 84

Answers

Answer:

Step-by-step explanation:

This is the general method for doing this problem. First factor these numbers into primes.

72: 2 * 2 * 2 * 3 * 3

84: 2*2 * 3 * 7

Now each number has at least two 2s

Each number has at least one          3

The highest common factor is 2 * 2 * 3 = 12

Three friends are selling items at an arts and crafts fair. Kim makes $45.75 selling jewelry. Mark makes 100 times as much as Kim selling his custom picture frames. Carlos makes one tenth of the money Mark makes selling paintings. How much money does each friend make?

Answers

Answer:

mark is making $4,575, Carlos is makeing 457.50

Factor the following expression using the GCF.

8dr – 24r

r(8d – 24)
4r(2d – 6)
8(dr – 3r)
8r(d – 3)

Answers

Answer:

the answer to your question is 8r(d-3)

hope this helps :-)

Could I get help with this one?

Answers

Answer:

x3

Step-by-step explanation:

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A. -4
B.-2
C.-1
D. 1

Answers

Answer:

n = -4

Step-by-step explanation:

You must write and solve a symbolic equation.

n - 6 = 5(n + 2), or

n - 6 = 5n + 10

Combining like terms, we get:

-16 = 4n,

and so n = -4

Answer:

A. -4

Step-by-step explanation:

-1/4 ÷ -3/8
Please Hurry

Answers

Answer:

2 /3 (decimal form ≅ 0.6666667 )

Step-by-step explanation:

Unary minus: -1 /4

= -1 /4

Unary minus: -3 /8

= -3 /8

Divide: the result of step No. 1 : the result of step No. 2 = -1 /4 : (-3 /8 ) =

-1 /4  x -8 /3  = -1 (-8)  divided by 4(3)  = 8 /12  = 4(2 ) divided by 4(3)  = 2 /3

Match each equation to the situation it represents
1st one says Leilah
2nd one says Stetson​

Answers

Answer:

leiah has not yet studied......          =    2400 - 40x = 600

stetson rests studios spaces......   =    40x - 600 = 2400

a kit contains....                               =.    (600 + 40) x = 2400

Step-by-step explanation:

that might make it a bit easier

-15= x/-0.5 8= what does x equal

Answers

8*0.5*x=-15
x = -15/4

I need this for sis!:D I will give thanks!

Answers

I do believe that it is the second one I’m not 100% sure but I’m pretty sure it is

Pls help!!! What is this expression in simplified form?

Answers

Answer:

My guess would be D

Step-by-step explanation:

Use this scenario to answer questions 3-4: Peter was a waiter that was paid at a rate of $8 per hour plus tips. He earned a total of $200 including $54 in tips.


Given the scenario above, write an equation to represent the scenario. Let h = the number of hours
Free brainliest included! :)

Answers

8h+54=200 because if the waiter makes 8 dollars an hour plus 54 dollars in tips, that’s the equation.

What is the constant rate???

Answers

Answer:

The constant rate is 4

Step-by-step explanation:

40 ÷ 10 = 4

80 ÷ 20 = 4

120 ÷ 30 = 4

160 ÷ 40 = 4

They all equal 4 so that is the constant rate.

Brainliest???

Mrs. Healy has two dogs rocky and chino. rocky eats 2 dog treats each day and Chino eats 5 each day. How many treats do the dogs eat in 4 days?

Answers

Answer:

28 treats

Step-by-step explanation:

2x4

5x4

20+8=28

Answer:

the answer is 28 treats in 4 days for both dogs

Step-by-step explanation:

2*4=8+    5*4=20= all together 28 treats for 2 dogs

hope this helped

Use the elimination method to solve the system of equations. Choose the correct ordered pair.
2x-5y=2
3x+2y=-16

Answers

Answer: (-4, -2)

Step-by-step explanation:

just took the test and got this right! :-)

Identify the slope from the table

NEED HELP PLEASE thank you sb

Answers

The slope is -4 or c on the table

Answer:

-4

Step-by-step explanation:

‘X’ adds by one while ‘y’ adds by -4

PRE-CALC
khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is formed by the amount in his account from year to year?

an arithmetic series
an arithmetic sequence
a geometric series
a geometric sequence

Answers

D.  Geometric Sequence

For your question: "Khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is

formed by the amount in his account from year to year?"

The geometric sequence is formed.

Answer:

d

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!

Answers

Nice I like the black pic :D

Answer:

Blue

blue with a hint of orange

solve the following inequality showing all steps -3n+7<4

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]

[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

horizontal distance of 10 feet and rice 3 feet. Find the length of the ramp.

Answers

Answer:

Step-by-step explanation:

Tye length of the ramp can be gotten using Pythagoras theorem.

Horizontal distance = 10ft.

Vertical distance = 3ft

Length of the ramp² = 10²+3²

Length of the ramp² = 100+9

Length of the ramp² = 109

L² = 109

L =√109

L = 10.44ft

Hence the length of the ramp is 10.4ft to the nearest tenth

9x - y power two - 20 ≥ 0 i need every passage​

Answers

Answer: photo

Step-by-step explanation:

I am not sure but hope it helps

The weight of one ticket is approximately 1.67 × 10-4 g. Write the numerical value without scientific notation.

Answers

Answer:

0.000167 g

Step-by-step explanation:

[tex]1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g[/tex]

The temperature in Minsk was recorded over a period of four hours. The
equation
y = -5x + 54
describes the temperature over this time, where y is the temperature in
degrees Fahrenheit (°F) and x is the number of hours since measurements
started. Which of the following statements correctly describes the
temperature?
A. It was -5°F after four hours, and it is rising by 54 degrees per
hour.
B. It was 54°F when the temperature was first measured, and it is
dropping by 5 degrees per hour.
c. It was -5°F when the temperature was first measured, and it is
rising by 54 degrees per hour.
O D. It was 54°F after four hours, and it is dropping by 5 degrees per
hour

Answers

Answer:

D.) it was 54 degrees Fahrenheit when the temperature was first measured, and it is dropping by 5 degrees per hour

Step-by-step explanation:

I took the quiz

Answer:

D

Step-by-step explanation:

I took the test

HELP ASAP LAST QUESTION

Answers

Answer:

-9.63

Step-by-step explanation:

-√92.75=

-9.63

-9.63 Hope it helps :D
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